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Finding the Third Proportional to 236,890 and 312,998

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Solution

The third proportional to 236,890 and 312,998 is: 413,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,890 : 312,998 = 312,998 : x
  2. Step 2: Convert to fraction form
    236,890/312,998 = 312,998/x
  3. Step 3: Cross multiply
    236,890x = 312,998 × 312,998
  4. Step 4: Simplify right side
    236,890x = 97,967,748,004
  5. Step 5: Solve for x
    x = 97,967,748,004/236,890
  6. Step 6: Final answer
    x = 413,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.